Tverberg's proof of the Jordan closed curve theorem

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Tverberg's proof of the Jordan closed curve theorem. / Paramonov, P. V.; Fedorovsky, K. Yu.

In: St. Petersburg Mathematical Journal, Vol. 27, No. 5, 2016, p. 851-860.

Research output: Contribution to journal › Article › peer-review

Author

Paramonov, P. V. ; Fedorovsky, K. Yu. / Tverberg's proof of the Jordan closed curve theorem. In: St. Petersburg Mathematical Journal. 2016 ; Vol. 27, No. 5. pp. 851-860.

BibTeX

@article{cad4f991e23a4021ba186bf5bda29b29,

title = "Tverberg's proof of the Jordan closed curve theorem",

abstract = "A proof of the classical theorem on a simple closed curve (Jordan's theorem) is discussed; this proof is given by a Norwegian mathematician H. Tverberg and is little known to specialists. The proof has a metric nature and makes it possible to obtain an important metric refinement of Jordan's theorem, which is interesting on its own.",

keywords = "Jordan curve, Jordan's theorem",

author = "Paramonov, {P. V.} and Fedorovsky, {K. Yu}",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

doi = "10.1090/spmj/1421",

language = "English",

volume = "27",

pages = "851--860",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "5",

}

RIS

TY - JOUR

T1 - Tverberg's proof of the Jordan closed curve theorem

AU - Paramonov, P. V.

AU - Fedorovsky, K. Yu

PY - 2016

Y1 - 2016

N2 - A proof of the classical theorem on a simple closed curve (Jordan's theorem) is discussed; this proof is given by a Norwegian mathematician H. Tverberg and is little known to specialists. The proof has a metric nature and makes it possible to obtain an important metric refinement of Jordan's theorem, which is interesting on its own.

AB - A proof of the classical theorem on a simple closed curve (Jordan's theorem) is discussed; this proof is given by a Norwegian mathematician H. Tverberg and is little known to specialists. The proof has a metric nature and makes it possible to obtain an important metric refinement of Jordan's theorem, which is interesting on its own.

KW - Jordan curve

KW - Jordan's theorem

UR - http://www.scopus.com/inward/record.url?scp=84981312093&partnerID=8YFLogxK

U2 - 10.1090/spmj/1421

DO - 10.1090/spmj/1421

M3 - Article

AN - SCOPUS:84981312093

VL - 27

SP - 851

EP - 860

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -

ID: 86669297